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Finding the Fourth Proportional to 5,183.68, 7,770 and 3,536.14

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Solution

The fourth proportional to 5,183.68, 7,770 and 3,536.14 is: 5,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.68 : 7,770 = 3,536.14 : x
  2. Step 2: Convert to fraction form
    5,183.68/7,770 = 3,536.14/x
  3. Step 3: Cross multiply
    5,183.68x = 7,770 × 3,536.14
  4. Step 4: Simplify right side
    5,183.68x = 27,475,807.80
  5. Step 5: Solve for x
    x = 27,475,807.80/5,183.68
  6. Step 6: Final answer
    x = 5,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.